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Finding the Fourth Proportional to 2,065.49, 3,092.76 and 1,089.54

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Solution

The fourth proportional to 2,065.49, 3,092.76 and 1,089.54 is: 1,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.49 : 3,092.76 = 1,089.54 : x
  2. Step 2: Convert to fraction form
    2,065.49/3,092.76 = 1,089.54/x
  3. Step 3: Cross multiply
    2,065.49x = 3,092.76 × 1,089.54
  4. Step 4: Simplify right side
    2,065.49x = 3,369,685.73
  5. Step 5: Solve for x
    x = 3,369,685.73/2,065.49
  6. Step 6: Final answer
    x = 1,631.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.